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Faltings heights of elliptic curves over $\mathbb{Q}$
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Numbers
$N$
$c_4$, $c_6$
quantity 
height
11
496, 20008
$h(E)$:
-0.3080098411184030646890142614594871910993685174080234310447133506759916661664166216348551823996404121
comment: LMFDB 11.a2, Cremona label 11a1.
11
375376, 229985128
$h(E)$:
0.4967091150986471226113654051536066286634321597262354299116105950610978276874122606802117566469493933
comment: LMFDB 11.a1, Cremona label 11a2.
11
16, -152
$h(E)$:
-1.112728797335453251989393928072581010862169194542282292001037296413081160020245503949922121446230217
comment: LMFDB 11.a3, Cremona label 11a3.
14
-215, 5291
$h(E)$:
-0.4827787541909430428254563243546633844437915346872167661017147326196942186940946054975004796578963694
comment: LMFDB 14.a6, Cremona label 14a1.
14
1705, 57707
$h(E)$:
-0.1362051639109703881168402636255751004060414675070891390413747278729974077092472476945688161596870257
comment: LMFDB 14.a3, Cremona label 14a2.
14
8185, 742643
$h(E)$:
0.06652739014311180287216629410659946787995374422415795976563243419905292791520987793930739774896967495
comment: LMFDB 14.a2, Cremona label 14a3.
14
25, -253
$h(E)$:
-1.032084898524997888523078942815926236767536813598591491969061899438441365303399088934308357064762414
comment: LMFDB 14.a5, Cremona label 14a4.
14
131065, 47449331
$h(E)$:
0.4131009804230844575807823548356877519177038114042855868259724389457497389000572357422390612471790187
comment: LMFDB 14.a1, Cremona label 14a5.
14
505, -11341
$h(E)$:
-0.6855113082450252338144628820868379527297867464184638649087218946917445543185517311313766935665530701
comment: LMFDB 14.a4, Cremona label 14a6.
15
481, 4879
$h(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 15.a5, Cremona label 15a1.
15
6481, 521479
$h(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 15.a2, Cremona label 15a2.
15
241, -3689
$h(E)$:
-0.7488511623628164421522125578936610511854542203329689961092728615372532798588028145562043136559058726
comment: LMFDB 15.a6, Cremona label 15a3.
15
-1679, 36631
$h(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 15.a8, Cremona label 15a4.
15
103681, 33384799
$h(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 15.a1, Cremona label 15a5.
15
5281, 720559
$h(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 15.a3, Cremona label 15a6.
15
3841, -238049
$h(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 15.a4, Cremona label 15a7.
15
1, -161
$h(E)$:
-1.095424752642789096860828618622749335223204287513096623169612866283950090843650172359135977154115216
comment: LMFDB 15.a7, Cremona label 15a8.
17
33, 12015
$h(E)$:
-0.3766361209413434809574330042301776138754379600045873918736465726599350553674737921519186061934731981
comment: LMFDB 17.a3, Cremona label 17a1.
17
273, 4455
$h(E)$:
-0.7232097112213161356660490649592658979131880271847150189339865774066318663523211499548502696916825418
comment: LMFDB 17.a2, Cremona label 17a2.
17
4353, 287199
$h(E)$:
-0.3766361209413434809574330042301776138754379600045873918736465726599350553674737921519186061934731981
comment: LMFDB 17.a1, Cremona label 17a3.
17
33, -81
$h(E)$:
-1.069783301501288790374665125688354181950938094364842645994326582153328677337168507757781933189891886
comment: LMFDB 17.a4, Cremona label 17a4.
19
448, 10088
$h(E)$:
-0.5158669873427370421775277348768174110740694735740987601932291524157574873105577640414873596908206528
comment: LMFDB 19.a2, Cremona label 19a1.
19
36928, 7096328
$h(E)$:
0.03343915699131780352009488358444544124967580533727596567411801440298965929874671939532051771604539159
comment: LMFDB 19.a1, Cremona label 19a2.
19
-32, 8
$h(E)$:
-1.065173131676791887875150353338080263397814752485473486060576319234504633919862247478295237097686697
comment: LMFDB 19.a3, Cremona label 19a3.
20
-176, -2368
$h(E)$:
-0.5833765052355473164654100198459815783357424715582097961004998444438489591602607503496839141380905673
comment: LMFDB 20.a4, Cremona label 20a1.
20
-176, -2368
$h_{\mathrm{st}}(E)$:
-1.045474625608844189410231434151432623719409227798379965514286517439444707140057227420259465469036359
comment: LMFDB 20.a4, Cremona label 20a1.
20
64, -352
$h(E)$:
-0.9299500955155199711740260805750698623734925387383374231608398491905457701451081081526155776362999110
comment: LMFDB 20.a3, Cremona label 20a2.
20
64, -352
$h_{\mathrm{st}}(E)$:
-1.160999155702168407646436787727795385065325916858422507867733185688343644135006346687903353301772807
comment: LMFDB 20.a3, Cremona label 20a2.
20
1744, 110528
$h(E)$:
-0.03407036090149247076778740138471872601199719264683507023315267762510181255095626691287603673122452288
comment: LMFDB 20.a2, Cremona label 20a3.
20
1744, 110528
$h_{\mathrm{st}}(E)$:
-0.4961684812747893437126088156901697713956639488870052396469393506206975605307527439834515880621703146
comment: LMFDB 20.a2, Cremona label 20a3.
20
1984, 88352
$h(E)$:
-0.3806439511814651254764034621138070100497472598269626972934926823717986235358036247158077002294338667
comment: LMFDB 20.a1, Cremona label 20a4.
20
1984, 88352
$h_{\mathrm{st}}(E)$:
-0.6116930113681135619488141692665325327415806379470477820003860188695964975257018632510954758949067625
comment: LMFDB 20.a1, Cremona label 20a4.
21
193, 575
$h(E)$:
-0.6189417971690055386589662667859605271417773392062584600942044254832416639165474902236343433295033141
comment: LMFDB 21.a5, Cremona label 21a1.
21
2353, 113975
$h(E)$:
-0.2723682068890328839503502060568722431040272720261308330338644207365448529317001324207026798312939704
comment: LMFDB 21.a2, Cremona label 21a2.
21
1873, -80569
$h(E)$:
-0.2723682068890328839503502060568722431040272720261308330338644207365448529317001324207026798312939704
comment: LMFDB 21.a3, Cremona label 21a3.
21
-47, 71
$h(E)$:
-0.9655153874489781933675823275150488111795274063863860871545444302299384749013948480265660068277126579
comment: LMFDB 21.a6, Cremona label 21a4.
21
37633, 7300511
$h(E)$:
0.07420538339093977075826585467221604093372279515399679402647558401015195805314722538222898366691537340
comment: LMFDB 21.a1, Cremona label 21a5.
21
1633, 185039
$h(E)$:
0.07420538339093977075826585467221604093372279515399679402647558401015195805314722538222898366691537340
comment: LMFDB 21.a4, Cremona label 21a6.
24
208, -2240
$h(E)$:
-0.6453522860798572726590106768265356986704893927566834266340266041441509461504934960241506948907871607
comment: LMFDB 24.a4, Cremona label 24a1.
24
208, -2240
$h_{\mathrm{st}}(E)$:
-1.107450406453154145603832091131986744054156148996853596047813277139746694130289973094726246221732952
comment: LMFDB 24.a4, Cremona label 24a1.
24
1168, 38080
$h(E)$:
-0.2987786957998846179503946160974474146327393255765557995736865993974541351656461382212190313925778169
comment: LMFDB 24.a3, Cremona label 24a2.
24
1168, 38080
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 24.a3, Cremona label 24a2.
24
3088, -171584
$h(E)$:
-0.2987786957998846179503946160974474146327393255765557995736865993974541351656461382212190313925778169
comment: LMFDB 24.a2, Cremona label 24a3.
24
3088, -171584
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 24.a2, Cremona label 24a3.
24
-32, -224
$h(E)$:
-0.9919258763598299273676267375556239827082394599368110536943666088908477571353408538270823583889965044
comment: LMFDB 24.a5, Cremona label 24a4.
24
-32, -224
$h_{\mathrm{st}}(E)$:
-1.222974936546478363840037444708349505400072838056896138401259945388645631125239092362370134054469400
comment: LMFDB 24.a5, Cremona label 24a4.
24
18448, 2505664
$h(E)$:
0.04779489448008803675822144463164086940501074160357182748665340534924267581920121958171263210563152689
comment: LMFDB 24.a1, Cremona label 24a5.
24
18448, 2505664
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 24.a1, Cremona label 24a5.
24
-752, 150976
$h(E)$:
0.04779489448008803675822144463164086940501074160357182748665340534924267581920121958171263210563152689
comment: LMFDB 24.a6, Cremona label 24a6.
24
-752, 150976
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 24.a6, Cremona label 24a6.
26
217, 6371
$h(E)$:
-0.4949197182006781899244121077737002033955132914426523041201927360976731844153842209854743109390587149
comment: LMFDB 26.a2, Cremona label 26a1.
26
22057, 3275819
$h(E)$:
0.05438642613337665577321051068756264892823198746872242174715443072107396219392026245133356646780732951
comment: LMFDB 26.a1, Cremona label 26a2.
26
-23, -181
$h(E)$:
-1.044225862534733035622034726234963055719258570354027029987539902916420331024688704422282188345924759
comment: LMFDB 26.a3, Cremona label 26a3.
26
129, -2241
$h(E)$:
-0.6831605484242720873566693016990812145460888458510317241418327170619466937046681105135478104708866707
comment: LMFDB 26.b2, Cremona label 26b1.
26
10209, 1131759
$h(E)$:
0.2897945261033845651960070700225086502724535189398988700878623579068432376713665233802814388230490928
comment: LMFDB 26.b1, Cremona label 26b2.
27
0, 5832
$h(E)$:
-0.4971582119269556464434352681629291852842518352462757470759543611466105805972609481303075954972140206
comment: LMFDB 27.a3, Cremona label 27a1.
27
0, 5832
$h_{\mathrm{st}}(E)$:
-1.321117428428037914989869195854823463769869753613337835876975111374731300511217673285519411607513087
comment: LMFDB 27.a3, Cremona label 27a1.
27
12960, 1475496
$h(E)$:
0.05214793240709919925418735029833366703949344366509897879139280567213656601204353530650028190965202382
comment: LMFDB 27.a1, Cremona label 27a2.
27
12960, 1475496
$h_{\mathrm{st}}(E)$:
-0.9549133322053346845247874502139815622207062343390880186320770001622332027716813509943141600029357242
comment: LMFDB 27.a1, Cremona label 27a2.
27
0, -216
$h(E)$:
-1.046464356261010492141057886624192037607997114157650472943301527965357727206565431567115472904080065
comment: LMFDB 27.a4, Cremona label 27a3.
27
0, -216
$h_{\mathrm{st}}(E)$:
-1.321117428428037914989869195854823463769869753613337835876975111374731300511217673285519411607513087
comment: LMFDB 27.a4, Cremona label 27a3.
27
1440, -54648
$h(E)$:
-0.4971582119269556464434352681629291852842518352462757470759543611466105805972609481303075954972140206
comment: LMFDB 27.a2, Cremona label 27a4.
27
1440, -54648
$h_{\mathrm{st}}(E)$:
-0.9549133322053346845247874502139815622207062343390880186320770001622332027716813509943141600029357242
comment: LMFDB 27.a2, Cremona label 27a4.
30
-71, -1837
$h(E)$:
-0.6782873396776484748256124183568434027106242563702838552248205219776836949166007594000844413970364455
comment: LMFDB 30.a8, Cremona label 30a1.
30
889, -24013
$h(E)$:
-0.3317137493976758201169963576277551186728741891901562281644805172309868839317534015971527778988271018
comment: LMFDB 30.a6, Cremona label 30a2.
30
649, 54107
$h(E)$:
-0.1289811953435936291279897998955805503868789774589091293574733551589365483072962759632765639901704011
comment: LMFDB 30.a7, Cremona label 30a3.
30
3289, 162467
$h(E)$:
0.01485984088229683459161970310133316536487587798997139889585948751570992705309395620577888559938224201
comment: LMFDB 30.a5, Cremona label 30a4.
30
13849, -1629757
$h(E)$:
0.01485984088229683459161970310133316536487587798997139889585948751570992705309395620577888559938224201
comment: LMFDB 30.a4, Cremona label 30a5.
30
16009, 2021723
$h(E)$:
0.2175923949363790255806262608335077336508710897212184977028666495877602626775510818396550995080389426
comment: LMFDB 30.a3, Cremona label 30a6.
30
256009, 129533723
$h(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 30.a1, Cremona label 30a7.
30
21769, 437147
$h(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 30.a2, Cremona label 30a8.
32
-192, 0
$h(E)$:
-0.6173857453515642088350429618465520998761074550475548070018024903450663964695952013286093437046455034
comment: LMFDB 32.a4, Cremona label 32a1.
32
-192, 0
$h_{\mathrm{st}}(E)$:
-1.310532925911509518252275083304728667951607589407810061122482499838460018439289916934472670701064191
comment: LMFDB 32.a4, Cremona label 32a1.
32
48, 0
$h(E)$:
-0.9639593356315368635436590225756403839138575222276824340621424950917632074544425591315410072028548472
comment: LMFDB 32.a3, Cremona label 32a2.
32
48, 0
$h_{\mathrm{st}}(E)$:
-1.310532925911509518252275083304728667951607589407810061122482499838460018439289916934472670701064191
comment: LMFDB 32.a3, Cremona label 32a2.
32
528, 12096
$h(E)$:
-0.6173857453515642088350429618465520998761074550475548070018024903450663964695952013286093437046455034
comment: LMFDB 32.a1, Cremona label 32a3.
32
528, 12096
$h_{\mathrm{st}}(E)$:
-1.137246130771523190897967052940184525932732555817746247592312497465111612946866238033006838951959519
comment: LMFDB 32.a1, Cremona label 32a3.
32
528, -12096
$h(E)$:
-0.6173857453515642088350429618465520998761074550475548070018024903450663964695952013286093437046455034
comment: LMFDB 32.a2, Cremona label 32a4.
32
528, -12096
$h_{\mathrm{st}}(E)$:
-1.137246130771523190897967052940184525932732555817746247592312497465111612946866238033006838951959519
comment: LMFDB 32.a2, Cremona label 32a4.
33
553, -4085
$h(E)$:
-0.3592056573966612529510621809348857984190413223271346061540476421155948570272859626107310156554313980
comment: LMFDB 33.a2, Cremona label 33a1.
33
313, 5491
$h(E)$:
-0.7057792476766339076596782416639740824567913895072622332143876468622916680121333204136626791536407418
comment: LMFDB 33.a3, Cremona label 33a2.
33
7033, -589229
$h(E)$:
-0.01263206711668859824244612020579751438129125514700697909370763736889804604243860480779935215722205421
comment: LMFDB 33.a1, Cremona label 33a3.
33
-2087, -31805
$h(E)$:
-0.01263206711668859824244612020579751438129125514700697909370763736889804604243860480779935215722205421
comment: LMFDB 33.a4, Cremona label 33a4.
34
145, -1081
$h(E)$:
-0.7163923365484619866519881779325152717949888533116581823310770153570334086487894170145375145602397134
comment: LMFDB 34.a4, Cremona label 34a1.
34
2065, -93817
$h(E)$:
-0.3698187462684893319433721172034269877572387861315305552707370106103365976639420592116058510620303696
comment: LMFDB 34.a3, Cremona label 34a2.
34
4945, 347687
$h(E)$:
-0.1670861922144071409543655594712524194712435744002834564637298485382862620394849335777296371533736690
comment: LMFDB 34.a2, Cremona label 34a3.
34
5425, 276119
$h(E)$:
0.1794873980655655137542505012578358645665064927798441705966101562084105489453624242252020263448356748
comment: LMFDB 34.a1, Cremona label 34a4.
35
-416, 1448
$h(E)$:
-0.4218440207030501113899547168191006728146875492904713077909338066573527209337408225358801832321000610
comment: LMFDB 35.a3, Cremona label 35a1.
35
6304, 523592
$h(E)$:
0.1274621236310047343076679016421621795090577296209034180764133601613944256755636609009276941747659834
comment: LMFDB 35.a1, Cremona label 35a2.
35
64, -568
$h(E)$:
-0.9711501650371049570875773352803635251384328282018460336582809734760998675430453059726880606389661054
comment: LMFDB 35.a2, Cremona label 35a3.
36
0, -864
$h(E)$:
-0.8154152960743620556686471794714665149161637360375653882364081914675598532166671930318276972386071691
comment: LMFDB 36.a4, Cremona label 36a1.
36
0, -864
$h_{\mathrm{st}}(E)$:
-1.321117428428037914989869195854823463769869753613337835876975111374731300511217673285519411607513087
comment: LMFDB 36.a4, Cremona label 36a1.
36
720, -19008
$h(E)$:
-0.4688417057943894009600311187423782308784136688574377611760681867208630422318198352288960337403978253
comment: LMFDB 36.a2, Cremona label 36a2.
36
720, -19008
$h_{\mathrm{st}}(E)$:
-1.205592898334713696753663842278460702423953064553295293523528443125832363516268554017875523774776639
comment: LMFDB 36.a2, Cremona label 36a2.
36
0, 23328
$h(E)$:
-0.2661091517403072099710245610102036625924184571261906623690610246488127066073627095950198198317411247
comment: LMFDB 36.a3, Cremona label 36a3.
36
0, 23328
$h_{\mathrm{st}}(E)$:
-1.321117428428037914989869195854823463769869753613337835876975111374731300511217673285519411607513087
comment: LMFDB 36.a3, Cremona label 36a3.
36
6480, 513216
$h(E)$:
0.08046443853966544473759149971888462144533161005393696469127898009788410437748464820791184366646821905
comment: LMFDB 36.a1, Cremona label 36a4.
36
6480, 513216
$h_{\mathrm{st}}(E)$:
-1.205592898334713696753663842278460702423953064553295293523528443125832363516268554017875523774776639
comment: LMFDB 36.a1, Cremona label 36a4.
37
48, -216
$h(E)$:
-0.9965422076373671479465634435715414357600894674389705443833478688071521543374009367616689402933782378
comment: LMFDB 37.a1, Cremona label 37a1.
37
1120, 36296
$h(E)$:
-0.3272245848103514906908376129349616895780138820071581231284436436445609696505457788180322466751220009
comment: LMFDB 37.b2, Cremona label 37b1.
37
89920, 26964008
$h(E)$:
0.2220815595237033550067850055263011627457313969042166027389035231741861769587587046187756307317440435
comment: LMFDB 37.b1, Cremona label 37b2.
37
160, -2008
$h(E)$:
-0.8765307291444063363884602313962245419017591609185328489957908104633081162598502622548401240819880453
comment: LMFDB 37.b3, Cremona label 37b3.
38
-455, -77293
$h(E)$:
-0.06413653337681126474566069838523210071244350142375221571923713174681331066408825707146078224900450188
comment: LMFDB 38.a3, Cremona label 38a1.
38
4105, 2115611
$h(E)$:
0.4851696109572435809519619200760307516113017774876225101481100350719338359452162263653470951578615425
comment: LMFDB 38.a1, Cremona label 38a2.
38
745, -20341
$h(E)$:
-0.6134426777108661104432833168464949530361887803351269415865842985655604572733927405082686596558705463
comment: LMFDB 38.a2, Cremona label 38a3.
38
1, -1025
$h(E)$:
-0.7869343627608204563900035691921246859183411268168810515485537414027501437047219129529442838379533583
comment: LMFDB 38.b2, Cremona label 38b1.
38
3361, 215695
$h(E)$:
0.01778459345622973091037609742096913384445955031737780940777020433433935014910696936212265520863644706
comment: LMFDB 38.b1, Cremona label 38b2.
39
217, 2755
$h(E)$:
-0.6649400524083601076573930778984600439419187971187952851962993380117724721808187855785283121580996238
comment: LMFDB 39.a3, Cremona label 39a1.
39
3337, 192763
$h(E)$:
-0.3183664621283874529487770171693717599041687299386676581359593332650756611959714277755966486598902800
comment: LMFDB 39.a1, Cremona label 39a2.
39
937, -25973
$h(E)$:
-0.3183664621283874529487770171693717599041687299386676581359593332650756611959714277755966486598902800
comment: LMFDB 39.a2, Cremona label 39a3.
39
-23, 235
$h(E)$:
-1.011513642688332762366009138627548327979668864298922912256639342758469283165666143381459975656308968
comment: LMFDB 39.a4, Cremona label 39a4.
40
336, 5184
$h(E)$:
-0.5487873722761625674470959969453399467604310063987813732344383497016727371944433907268910906017303085
comment: LMFDB 40.a2, Cremona label 40a1.
40
336, 5184
$h_{\mathrm{st}}(E)$:
-1.010885492649459440391917411250790992144097762638951542648225022697268485174239867797466641932676100
comment: LMFDB 40.a2, Cremona label 40a1.
40
5136, 368064
$h(E)$:
-0.2022137819961899127384799362162516627226809392186537461740983449549759262095960329239594271035209647
comment: LMFDB 40.a1, Cremona label 40a2.
40
5136, 368064
$h_{\mathrm{st}}(E)$:
-0.7798364324628110039195067040980654694522643845188664579413316861994706111843416292621788662672032043
comment: LMFDB 40.a1, Cremona label 40a2.
40
96, -864
$h(E)$:
-0.8953609625561352221557120576744282307981810735789090002947783544483695481792907485298227540999396522
comment: LMFDB 40.a3, Cremona label 40a3.
40
96, -864
$h_{\mathrm{st}}(E)$:
-1.126410022742783658628122764827153753490014451698994085001671690946167422169188987065110529765412548
comment: LMFDB 40.a3, Cremona label 40a3.
40
-624, 29376
$h(E)$:
-0.2022137819961899127384799362162516627226809392186537461740983449549759262095960329239594271035209647
comment: LMFDB 40.a4, Cremona label 40a4.
40
-624, 29376
$h_{\mathrm{st}}(E)$:
-0.7798364324628110039195067040980654694522643845188664579413316861994706111843416292621788662672032043
comment: LMFDB 40.a4, Cremona label 40a4.
42
193, -5921
$h(E)$:
-0.5040459871422248005757610669893763908845192380015648007699427302879103888065330948387667492610702082
comment: LMFDB 42.a5, Cremona label 42a1.
42
4033, -255905
$h(E)$:
-0.1574723968622521458671450062602881068467691708214371737096027255412135778216857370358350857628608644
comment: LMFDB 42.a4, Cremona label 42a2.
42
4993, -124865
$h(E)$:
0.1891011934177205088414710544688001771909808963586904533507372792054832331631616207670965777353484793
comment: LMFDB 42.a3, Cremona label 42a3.
42
64513, -16385921
$h(E)$:
0.1891011934177205088414710544688001771909808963586904533507372792054832331631616207670965777353484793
comment: LMFDB 42.a1, Cremona label 42a4.
42
43873, 9101359
$h(E)$:
0.5356747836976931635500871151978884612287309635388180804110772839521800441480089785700282412335578231
comment: LMFDB 42.a2, Cremona label 42a5.
42
-18527, -964529
$h(E)$:
0.5356747836976931635500871151978884612287309635388180804110772839521800441480089785700282412335578231
comment: LMFDB 42.a6, Cremona label 42a6.
43
16, -280
$h(E)$:
-1.004430496613083628434640774209169854493894368084737047611141020865181974735944924233064380815788328
comment: LMFDB 43.a1, Cremona label 43a1.
44
-128, 1664
$h(E)$:
-0.6522938257921678078034793469291488718026517729372186355999087154838870116814491316876388252091084916
comment: LMFDB 44.a2, Cremona label 44a1.
44
-128, 1664
$h_{\mathrm{st}}(E)$:
-1.114391946165464680748300761234599917186318529177388805013695388479482759661245608758214376540054283
comment: LMFDB 44.a2, Cremona label 44a1.
44
3712, 227456
$h(E)$:
-0.1029876814581129621058567284678860194789064940258439097325615486651398650721446482508309478022424472
comment: LMFDB 44.a1, Cremona label 44a2.
44
3712, 227456
$h_{\mathrm{st}}(E)$:
-0.5650858018314098350506781427733370648625732502660140791463482216607356130519411253214064991331882389
comment: LMFDB 44.a1, Cremona label 44a2.
45
9, 4347
$h(E)$:
-0.5461186083087342511632060001614864828994590086017218973022656994652029442343456889223280997472491720
comment: LMFDB 45.a7, Cremona label 45a1.
45
9, 4347
$h_{\mathrm{st}}(E)$:
-1.095424752642789096860828618622749335223204287513096623169612866283950090843650172359135977154115216
comment: LMFDB 45.a7, Cremona label 45a1.
45
2169, 99603
$h(E)$:
-0.1995450180287615964545899394323981988617089414215942702419256947185061332494983311193964362490398282
comment: LMFDB 45.a6, Cremona label 45a2.
45
2169, 99603
$h_{\mathrm{st}}(E)$:
-0.7488511623628164421522125578936610511854542203329689961092728615372532798588028145562043136559058726
comment: LMFDB 45.a6, Cremona label 45a2.
45
34569, 6427323
$h(E)$:
0.1470285722512110582540261212966900851760411257585333568184143100281906777353490266835352272491695156
comment: LMFDB 45.a4, Cremona label 45a3.
45
34569, 6427323
$h_{\mathrm{st}}(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 45.a4, Cremona label 45a3.
45
4329, -131733
$h(E)$:
0.1470285722512110582540261212966900851760411257585333568184143100281906777353490266835352272491695156
comment: LMFDB 45.a5, Cremona label 45a4.
45
4329, -131733
$h_{\mathrm{st}}(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 45.a5, Cremona label 45a4.
45
58329, -14079933
$h(E)$:
0.4936021625311837129626421820257783692137911929386609838787543147748874887201963844864668907473788593
comment: LMFDB 45.a2, Cremona label 45a5.
45
58329, -14079933
$h_{\mathrm{st}}(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 45.a2, Cremona label 45a5.
45
-15111, -989037
$h(E)$:
0.4936021625311837129626421820257783692137911929386609838787543147748874887201963844864668907473788593
comment: LMFDB 45.a8, Cremona label 45a6.
45
-15111, -989037
$h_{\mathrm{st}}(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 45.a8, Cremona label 45a6.
45
933129, -901389573
$h(E)$:
0.8401757528111563676712582427548666532515412601187886109390943195215842997050437422893985542455882031
comment: LMFDB 45.a1, Cremona label 45a7.
45
933129, -901389573
$h_{\mathrm{st}}(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 45.a1, Cremona label 45a7.
45
47529, -19455093
$h(E)$:
0.8401757528111563676712582427548666532515412601187886109390943195215842997050437422893985542455882031
comment: LMFDB 45.a3, Cremona label 45a8.
45
47529, -19455093
$h_{\mathrm{st}}(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 45.a3, Cremona label 45a8.
46
489, 12555
$h(E)$:
-0.4384820646246284070796510108688608644379879586060035356048786311200574617247964665394828371016634511
comment: LMFDB 46.a2, Cremona label 46a1.
46
8169, 738315
$h(E)$:
-0.09190847434465575237103495013977258040023789142587590854453862637336065073994910873655117360345410732
comment: LMFDB 46.a1, Cremona label 46a2.
48
208, 2240
$h(E)$:
-0.6453522860798572726590106768265356986704893927566834266340266041441509461504934960241506948907871607
comment: LMFDB 48.a4, Cremona label 48a1.
48
208, 2240
$h_{\mathrm{st}}(E)$:
-1.107450406453154145603832091131986744054156148996853596047813277139746694130289973094726246221732952
comment: LMFDB 48.a4, Cremona label 48a1.
48
3088, 171584
$h(E)$:
-0.2987786957998846179503946160974474146327393255765557995736865993974541351656461382212190313925778169
comment: LMFDB 48.a2, Cremona label 48a2.
48
3088, 171584
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 48.a2, Cremona label 48a2.
48
1168, -38080
$h(E)$:
-0.2987786957998846179503946160974474146327393255765557995736865993974541351656461382212190313925778169
comment: LMFDB 48.a3, Cremona label 48a3.
48
1168, -38080
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 48.a3, Cremona label 48a3.
48
-32, 224
$h(E)$:
-0.9919258763598299273676267375556239827082394599368110536943666088908477571353408538270823583889965044
comment: LMFDB 48.a5, Cremona label 48a4.
48
-32, 224
$h_{\mathrm{st}}(E)$:
-1.222974936546478363840037444708349505400072838056896138401259945388645631125239092362370134054469400
comment: LMFDB 48.a5, Cremona label 48a4.
48
18448, -2505664
$h(E)$:
0.04779489448008803675822144463164086940501074160357182748665340534924267581920121958171263210563152689
comment: LMFDB 48.a1, Cremona label 48a5.
48
18448, -2505664
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 48.a1, Cremona label 48a5.
48
-752, -150976
$h(E)$:
0.04779489448008803675822144463164086940501074160357182748665340534924267581920121958171263210563152689
comment: LMFDB 48.a6, Cremona label 48a6.
48
-752, -150976
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 48.a6, Cremona label 48a6.
49
105, 1323
$h(E)$:
-0.7991383890556224171243117097264340152651489694548849827103618727719737218000365604264525339919950869
comment: LMFDB 49.a4, Cremona label 49a1.
49
105, 1323
$h_{\mathrm{st}}(E)$:
-1.285615926319450743400649895587228947674420151850350279825209410256368687488053877373367158638962969
comment: LMFDB 49.a4, Cremona label 49a1.
49
1785, 75411
$h(E)$:
-0.4525647987756497624156956489973457312273989022747573556500218680252769108151892026235208704937857432
comment: LMFDB 49.a3, Cremona label 49a2.
49
1785, 75411
$h_{\mathrm{st}}(E)$:
-0.9390423360394780886920338348581406636366700846702226527648694055096718765032065195704354951407536249
comment: LMFDB 49.a3, Cremona label 49a2.
49
5145, -453789
$h(E)$:
0.1738166854720342354283646619951558495533933953360456115193332021968162095759980734673767153019406765
comment: LMFDB 49.a2, Cremona label 49a3.
49
5145, -453789
$h_{\mathrm{st}}(E)$:
-1.285615926319450743400649895587228947674420151850350279825209410256368687488053877373367158638962969
comment: LMFDB 49.a2, Cremona label 49a3.
49
87465, -25865973
$h(E)$:
0.5203902757520068901369807227242441335911434625161732385796732069435130205608454312703083788001500203
comment: LMFDB 49.a1, Cremona label 49a4.
49
87465, -25865973
$h_{\mathrm{st}}(E)$:
-0.9390423360394780886920338348581406636366700846702226527648694055096718765032065195704354951407536249
comment: LMFDB 49.a1, Cremona label 49a4.
50
25, 1475
$h(E)$:
-0.7260995961438815327538253799950988291198708641016911314105987220662265077341242673955566250365638118
comment: LMFDB 50.a3, Cremona label 50a1.
50
25, 1475
$h_{\mathrm{st}}(E)$:
-1.262578900288581657620745157737161375628404648857863705381481352557619503636676855605601251067623682
comment: LMFDB 50.a3, Cremona label 50a1.
50
6025, 467675
$h(E)$:
-0.1767934518098266870562027615338359767961255851903164055432515552474793611248197839587487476296977674
comment: LMFDB 50.a1, Cremona label 50a2.
50
6025, 467675
$h_{\mathrm{st}}(E)$:
-0.7132727559545268119231225392758985233046593699464889795141341857388723570273723721687933736607576376
comment: LMFDB 50.a1, Cremona label 50a2.
50
3625, -263125
$h(E)$:
0.07861936007316865454655428661799499064292981303256772954572522367086298611970461491951031401002599363
comment: LMFDB 50.a2, Cremona label 50a3.
50
3625, -263125
$h_{\mathrm{st}}(E)$:
-0.9943392482162315951872852688661301023741377564797774183960400373119230056854005615005789380520937469
comment: LMFDB 50.a2, Cremona label 50a3.
50
-26375, 1941875
$h(E)$:
0.6279255044072235002441769050792578429666750919439424554130723904896101327290090983563181914168920380
comment: LMFDB 50.a4, Cremona label 50a4.
50
-26375, 1941875
$h_{\mathrm{st}}(E)$:
-0.4450331038821767494896626504048672500503924775684026925286928704931758590760960780637710606452277025
comment: LMFDB 50.a4, Cremona label 50a4.
50
145, -2105
$h(E)$:
-0.7260995961438815327538253799950988291198708641016911314105987220662265077341242673955566250365638118
comment: LMFDB 50.b3, Cremona label 50b1.
50
145, -2105
$h_{\mathrm{st}}(E)$:
-0.9943392482162315951872852688661301023741377564797774183960400373119230056854005615005789380520937469
comment: LMFDB 50.b3, Cremona label 50b1.
50
-1055, 15535
$h(E)$:
-0.1767934518098266870562027615338359767961255851903164055432515552474793611248197839587487476296977674
comment: LMFDB 50.b4, Cremona label 50b2.
50
-1055, 15535
$h_{\mathrm{st}}(E)$:
-0.4450331038821767494896626504048672500503924775684026925286928704931758590760960780637710606452277025
comment: LMFDB 50.b4, Cremona label 50b2.
50
625, 184375
$h(E)$:
0.07861936007316865454655428661799499064292981303256772954572522367086298611970461491951031401002599363
comment: LMFDB 50.b2, Cremona label 50b3.
50
625, 184375
$h_{\mathrm{st}}(E)$:
-1.262578900288581657620745157737161375628404648857863705381481352557619503636676855605601251067623682
comment: LMFDB 50.b2, Cremona label 50b3.
50
150625, 58459375
$h(E)$:
0.6279255044072235002441769050792578429666750919439424554130723904896101327290090983563181914168920380
comment: LMFDB 50.b1, Cremona label 50b4.
50
150625, 58459375
$h_{\mathrm{st}}(E)$:
-0.7132727559545268119231225392758985233046593699464889795141341857388723570273723721687933736607576376
comment: LMFDB 50.b1, Cremona label 50b4.
51
-32, 872
$h(E)$:
-0.8085297170745870189030109322798731491314455073334062777502642979319257472545687208615833772206420705
comment: LMFDB 51.a2, Cremona label 51a1.
51
2848, 152072
$h(E)$:
-0.2592235727405321732053883138186102968077002284220315518829171311131786006452642374247754998137760261
comment: LMFDB 51.a1, Cremona label 51a2.
52
-48, 8640
$h(E)$:
-0.4312994161778494468551400614452119720529877821104369034659440550573562865136657100718102429370380659
comment: LMFDB 52.a2, Cremona label 52a1.
52
-48, 8640
$h_{\mathrm{st}}(E)$:
-0.8933975365511463197999614757506630174366545383506070728797307280529520344934621871423857942679838576
comment: LMFDB 52.a2, Cremona label 52a1.
52
192, 2592
$h(E)$:
-0.7778730064578221015637561221743002560907378492905645305262840598040530974985130678747419064352474097
comment: LMFDB 52.a1, Cremona label 52a2.
52
192, 2592
$h_{\mathrm{st}}(E)$:
-1.008922066644470538036166829327025778782571227410649615233177396301850971488411306410029682100720306
comment: LMFDB 52.a1, Cremona label 52a2.
53
-15, -297
$h(E)$:
-0.9885476880985635748647288365096805917481225279350385962877661378063850465302198240517459375453228226
comment: LMFDB 53.a1, Cremona label 53a1.
54
-567, -9477
$h(E)$:
-0.3152044280999111670238696849961416666251873856693593049646537874129599637504319933890144839656167445
comment: LMFDB 54.a3, Cremona label 54a1.
54
-567, -9477
$h_{\mathrm{st}}(E)$:
-1.139163644600993435570303612688035945110805304036421393765674537641080683664388718544226300075915811
comment: LMFDB 54.a3, Cremona label 54a1.
54
5913, 602883
$h(E)$:
0.2341017162341436786737529334651211856985578932420154209026933794057871828588724900477933934412492999
comment: LMFDB 54.a1, Cremona label 54a2.
54
5913, 602883
$h_{\mathrm{st}}(E)$:
-0.7729595483782902051052218670471940435616417847621715765207764264285825859248523962530210484713384482
comment: LMFDB 54.a1, Cremona label 54a2.
54
153, -1917
$h(E)$:
-0.8645105724339660127214923034574045189489326645807340308320009542317071103597364768258223613724827889
comment: LMFDB 54.a2, Cremona label 54a3.
54
153, -1917
$h_{\mathrm{st}}(E)$:
-1.139163644600993435570303612688035945110805304036421393765674537641080683664388718544226300075915811
comment: LMFDB 54.a2, Cremona label 54a3.
54
-63, 351
$h(E)$:
-0.8645105724339660127214923034574045189489326645807340308320009542317071103597364768258223613724827889
comment: LMFDB 54.b3, Cremona label 54b1.
54
-63, 351
$h_{\mathrm{st}}(E)$:
-1.139163644600993435570303612688035945110805304036421393765674537641080683664388718544226300075915811
comment: LMFDB 54.b3, Cremona label 54b1.
54
1377, 51759
$h(E)$:
-0.3152044280999111670238696849961416666251873856693593049646537874129599637504319933890144839656167445
comment: LMFDB 54.b1, Cremona label 54b2.
54
1377, 51759
$h_{\mathrm{st}}(E)$:
-1.139163644600993435570303612688035945110805304036421393765674537641080683664388718544226300075915811
comment: LMFDB 54.b1, Cremona label 54b2.
54
657, -22329
$h(E)$:
-0.3152044280999111670238696849961416666251873856693593049646537874129599637504319933890144839656167445
comment: LMFDB 54.b2, Cremona label 54b3.
54
657, -22329
$h_{\mathrm{st}}(E)$:
-0.7729595483782902051052218670471940435616417847621715765207764264285825859248523962530210484713384482
comment: LMFDB 54.b2, Cremona label 54b3.
55
201, -1701
$h(E)$:
-0.6322390702547315553716034703686457341777755454866627896946297797931831633057525288448557919317424061
comment: LMFDB 55.a3, Cremona label 55a1.
55
1401, 51219
$h(E)$:
-0.2856654799747589006629874096395574501400254783065351626342897750464863523209051710419241284335330623
comment: LMFDB 55.a2, Cremona label 55a2.
55
2841, -151389
$h(E)$:
-0.2856654799747589006629874096395574501400254783065351626342897750464863523209051710419241284335330623
comment: LMFDB 55.a1, Cremona label 55a3.
55
-39, -189
$h(E)$:
-0.9788126605347042100802195310977340182155256126667904167549697845398799742905998866477874554299517499
comment: LMFDB 55.a4, Cremona label 55a4.
56
-48, -1728
$h(E)$:
-0.6951800073585327977637756584527413638879724799190699614295578846314625243743905337490951590241182718
comment: LMFDB 56.a4, Cremona label 56a1.
56
-48, -1728
$h_{\mathrm{st}}(E)$:
-1.157278127731829670708597072758192409271639236159240130843344557627058272354187010819670710355064064
comment: LMFDB 56.a4, Cremona label 56a1.
56
912, -25920
$h(E)$:
-0.3486064170785601430551595977236530798502224127389423343692178798847657133895431759461634955259089281
comment: LMFDB 56.a3, Cremona label 56a2.
56
912, -25920
$h_{\mathrm{st}}(E)$:
-0.9262290675451812342361863656054668865798058580391550461364512211292603983642887722843829346895911677
comment: LMFDB 56.a3, Cremona label 56a2.
56
2832, 119232
$h(E)$:
-0.002032826798587488346543536994564795812472345558814707308877875138068902404695818143231832027699584296
comment: LMFDB 56.a2, Cremona label 56a3.
56
2832, 119232
$h_{\mathrm{st}}(E)$:
-0.6374177423118706886456729816645599832150141353890486902528345505070130558769159741152732151077500479
comment: LMFDB 56.a2, Cremona label 56a3.
56
14352, -1719360
$h(E)$:
-0.002032826798587488346543536994564795812472345558814707308877875138068902404695818143231832027699584296
comment: LMFDB 56.a1, Cremona label 56a4.
56
14352, -1719360
$h_{\mathrm{st}}(E)$:
-0.6374177423118706886456729816645599832150141353890486902528345505070130558769159741152732151077500479
comment: LMFDB 56.a1, Cremona label 56a4.
56
16, 3520
$h(E)$:
-0.5812424258401153034199409001290440891225234065662691880238208797841843164704061630926306306095939287
comment: LMFDB 56.b2, Cremona label 56b1.
56
16, 3520
$h_{\mathrm{st}}(E)$:
-1.158865076306736394600967668010857895852106851866481899791054221028679001445151759430850069773276168
comment: LMFDB 56.b2, Cremona label 56b1.
56
1936, 84160
$h(E)$:
-0.2346688355601426487113248393999558050847733393861415609634808750374875054855588052896989671113845849
comment: LMFDB 56.b1, Cremona label 56b2.
56
1936, 84160
$h_{\mathrm{st}}(E)$:
-0.8700537510734258490104542840699509924873151292163755439074375504064316589577789612617403501914350485
comment: LMFDB 56.b1, Cremona label 56b2.
57
112, -1304
$h(E)$:
-0.8365484092785726443290862355896099296243432294790949637699301738576056509986001777332680234589511244
comment: LMFDB 57.a1, Cremona label 57a1.
57
313, -5005
$h(E)$:
-0.5915822524827987483780484305996490588055756156938407872979516530562220373092695352167345666597543655
comment: LMFDB 57.c2, Cremona label 57b1.
57
73, 539
$h(E)$:
-0.9381558427627714030866644913287373428433256828739684143582916578029188482941168930196662301579637093
comment: LMFDB 57.c3, Cremona label 57b2.
57
4873, -340165
$h(E)$:
-0.2450086622028260936694323698705607747678255485137131602376116483095252263244221774138029031615450218
comment: LMFDB 57.c1, Cremona label 57b3.
57
-407, -24661
$h(E)$:
-0.2450086622028260936694323698705607747678255485137131602376116483095252263244221774138029031615450218
comment: LMFDB 57.c4, Cremona label 57b4.
57
-944, 33128
$h(E)$:
-0.1533117049886216997366362362668959531535181151320317877794207447897522905285426966854462484992845317
comment: LMFDB 57.b2, Cremona label 57c1.
57
210736, 96740648
$h(E)$:
0.6514072512284284875637434303461978666092825620022270731769032009473372033252861856296206905473052737
comment: LMFDB 57.b1, Cremona label 57c2.
58
57, -621
$h(E)$:
-0.9022285203492729551799893845835609228580613218065823143219220427108416930668289591900354349733730013
comment: LMFDB 58.a1, Cremona label 58a1.
58
-239, -6137
$h(E)$:
-0.4575549864764247267104365377717183137924044787684994760197862846215492784996853471804714634730046997
comment: LMFDB 58.b2, Cremona label 58b1.
58
21841, 3249703
$h(E)$:
0.3471639697406254605899431288413755059703961983657593849365376611155402153541435351345954755735851057
comment: LMFDB 58.b1, Cremona label 58b2.
61
97, -1009
$h(E)$:
-0.9054585429323965666632056887206299974673192318527126106099805068704976386478354952093394888935118215
comment: LMFDB 61.a1, Cremona label 61a1.
62
33, -945
$h(E)$:
-0.8012248660789798364550515963971074743605896447563565306631620172835175479425208155459136905704631593
comment: LMFDB 62.a4, Cremona label 62a1.
62
993, -31185
$h(E)$:
-0.4546512757990071817464355356680191903228395775762289036028220125368207369576734577429820270722538155
comment: LMFDB 62.a3, Cremona label 62a2.
62
1473, 2079
$h(E)$:
-0.1080776855190345270378194749389309062850895103961012765424820077901239259728260999400503635740444718
comment: LMFDB 62.a2, Cremona label 62a3.
62
15873, -1999809
$h(E)$:
-0.1080776855190345270378194749389309062850895103961012765424820077901239259728260999400503635740444718
comment: LMFDB 62.a1, Cremona label 62a4.
63
-423, -1917
$h(E)$:
-0.4162092431149233476699597090537859588557821274750113612871972634111913282920903645897581294208466135
comment: LMFDB 63.a6, Cremona label 63a1.
63
-423, -1917
$h_{\mathrm{st}}(E)$:
-0.9655153874489781933675823275150488111795274063863860871545444302299384749013948480265660068277126579
comment: LMFDB 63.a6, Cremona label 63a1.
63
1737, -15525
$h(E)$:
-0.06963565283495069296134364832469767481803206029488373422685725866449451730724300678682646592263726975
comment: LMFDB 63.a5, Cremona label 63a2.
63
1737, -15525
$h_{\mathrm{st}}(E)$:
-0.6189417971690055386589662667859605271417773392062584600942044254832416639165474902236343433295033141
comment: LMFDB 63.a5, Cremona label 63a2.
63
16857, 2175363
$h(E)$:
0.2769379374450219617472724124043906092197180068852438928334827460822022936776043510161051975755720740
comment: LMFDB 63.a3, Cremona label 63a3.
63
16857, 2175363
$h_{\mathrm{st}}(E)$:
-0.2723682068890328839503502060568722431040272720261308330338644207365448529317001324207026798312939704
comment: LMFDB 63.a3, Cremona label 63a3.
63
21177, -3077325
$h(E)$:
0.2769379374450219617472724124043906092197180068852438928334827460822022936776043510161051975755720740
comment: LMFDB 63.a2, Cremona label 63a4.
63
21177, -3077325
$h_{\mathrm{st}}(E)$:
-0.2723682068890328839503502060568722431040272720261308330338644207365448529317001324207026798312939704
comment: LMFDB 63.a2, Cremona label 63a4.
63
338697, -197113797
$h(E)$:
0.6235115277249946164558884731334788932574680740653715198938227508288991046624517088190368610737814178
comment: LMFDB 63.a1, Cremona label 63a5.
63
338697, -197113797
$h_{\mathrm{st}}(E)$:
0.07420538339093977075826585467221604093372279515399679402647558401015195805314722538222898366691537340
comment: LMFDB 63.a1, Cremona label 63a5.
63
14697, -4996053
$h(E)$:
0.6235115277249946164558884731334788932574680740653715198938227508288991046624517088190368610737814178
comment: LMFDB 63.a4, Cremona label 63a6.
63
14697, -4996053
$h_{\mathrm{st}}(E)$:
0.07420538339093977075826585467221604093372279515399679402647558401015195805314722538222898366691537340
comment: LMFDB 63.a4, Cremona label 63a6.
64
192, 0
$h(E)$:
-0.6173857453515642088350429618465520998761074550475548070018024903450663964695952013286093437046455034
comment: LMFDB 64.a3, Cremona label 64a1.
64
192, 0
$h_{\mathrm{st}}(E)$:
-1.310532925911509518252275083304728667951607589407810061122482499838460018439289916934472670701064191
comment: LMFDB 64.a3, Cremona label 64a1.
64
2112, 96768
$h(E)$:
-0.2708121550715915541264269011174638158383573878674271799414624855983695854847478435256776802064361597
comment: LMFDB 64.a1, Cremona label 64a2.
64
2112, 96768
$h_{\mathrm{st}}(E)$:
-1.137246130771523190897967052940184525932732555817746247592312497465111612946866238033006838951959519
comment: LMFDB 64.a1, Cremona label 64a2.
64
2112, -96768
$h(E)$:
-0.2708121550715915541264269011174638158383573878674271799414624855983695854847478435256776802064361597
comment: LMFDB 64.a2, Cremona label 64a3.
64
2112, -96768
$h_{\mathrm{st}}(E)$:
-1.137246130771523190897967052940184525932732555817746247592312497465111612946866238033006838951959519
comment: LMFDB 64.a2, Cremona label 64a3.
64
-48, 0
$h(E)$:
-0.9639593356315368635436590225756403839138575222276824340621424950917632074544425591315410072028548472
comment: LMFDB 64.a4, Cremona label 64a4.
64
-48, 0
$h_{\mathrm{st}}(E)$:
-1.310532925911509518252275083304728667951607589407810061122482499838460018439289916934472670701064191
comment: LMFDB 64.a4, Cremona label 64a4.
65
49, -73
$h(E)$:
-0.9616152372921617216318793391195480134654750773446614028148870642346637370778899892878506975990986955
comment: LMFDB 65.a1, Cremona label 65a1.
65
-191, -577
$h(E)$:
-0.6150416470121890669232632783904597294277250101645337757545470594879669260930426314849190341008893517
comment: LMFDB 65.a2, Cremona label 65a2.
66
265, -4069
$h(E)$:
-0.6593831184893346072605019710153025524378368367899179359674527556940217618105376760659373640546927875
comment: LMFDB 66.a3, Cremona label 66a1.
66
-215, -17173
$h(E)$:
-0.3128095282093619525518859102862142684000867696097903089071127509473249508256903182630057005564834438
comment: LMFDB 66.a4, Cremona label 66a2.
66
3865, 239363
$h(E)$:
-0.1100769741552797615628793525540397001140915578785432101001055888752746152012331926291294866478267432
comment: LMFDB 66.a1, Cremona label 66a3.
66
1945, 477251
$h(E)$:
0.2364966161246928931457367081750485839236585093015844169602344158714221957836141651738021768503826006
comment: LMFDB 66.a2, Cremona label 66a4.
66
97, -17
$h(E)$:
-0.7881010814106161809034889305039520771084245654867255238782017695642442371659230225701098318315525957
comment: LMFDB 66.b4, Cremona label 66b1.
66
1057, 34255
$h(E)$:
-0.4415274911306435261948728697748637930706744983065978968178617648175474261810756647671781683333432520
comment: LMFDB 66.b2, Cremona label 66b2.
66
16897, 2196415
$h(E)$:
-0.09495390085067087148625680904577550903292443112647026975752176007085061519622830696424650483513390820
comment: LMFDB 66.b1, Cremona label 66b3.
66
577, 65503
$h(E)$:
-0.09495390085067087148625680904577550903292443112647026975752176007085061519622830696424650483513390820
comment: LMFDB 66.b3, Cremona label 66b4.
66
2161, -73225
$h(E)$:
-0.05686568982050252918510401252123182733271015376500505122228653728286006336423681985011010580276289995
comment: LMFDB 66.c3, Cremona label 66c1.
66
-5519, -476425
$h(E)$:
0.2897079004594701255235120482078564567050399134151225758380534674638367476206105379528215576954464438
comment: LMFDB 66.c4, Cremona label 66c2.
66
483121, 335802455
$h(E)$:
0.7478532663965476581152756540918619924300905233692538097340374084542294304895920624649568332438269055
comment: LMFDB 66.c1, Cremona label 66c3.
66
482641, 336503015
$h(E)$:
1.094426856676520312823891714820950276467840590549381436794377413200926241474439420267888496742036249
comment: LMFDB 66.c2, Cremona label 66c4.
67
592, 14408
$h(E)$:
-0.6752666133472678207991004962165366814727160817271346148049733049997373736925574655496757216611170184
comment: LMFDB 67.a1, Cremona label 67a1.
69
25, 611
$h(E)$:
-0.8739671385516417486296305164238919044692033664464380732788859881847593527349320190625491241520770326
comment: LMFDB 69.a2, Cremona label 69a1.
69
745, 20267
$h(E)$:
-0.5273935482716690939210144556948036204314532992663104462185459834380625417500846612596174606538676888
comment: LMFDB 69.a1, Cremona label 69a2.
70
-111, 1863
$h(E)$:
-0.6541595089453090630195261371686158752797287062484600923511216642059430213632263910820512221711291054
comment: LMFDB 70.a4, Cremona label 70a1.
70
849, 20007
$h(E)$:
-0.3075859186653364083109100764395275912419786390683324652907816594592462103783790332791195586729197616
comment: LMFDB 70.a3, Cremona label 70a2.
70
12849, 1456407
$h(E)$:
0.03898767161463624639770598428956069279577142811179516176955834528745060060646832452381210482528958217
comment: LMFDB 70.a1, Cremona label 70a3.
70
4209, -255177
$h(E)$:
0.03898767161463624639770598428956069279577142811179516176955834528745060060646832452381210482528958217
comment: LMFDB 70.a2, Cremona label 70a4.
72
-288, 6048
$h(E)$:
-0.4426197320257750816700041190943611303844941810254363278270194420721006105260363703902744809821304600
comment: LMFDB 72.a5, Cremona label 72a1.
72
-288, 6048
$h_{\mathrm{st}}(E)$:
-1.222974936546478363840037444708349505400072838056896138401259945388645631125239092362370134054469400
comment: LMFDB 72.a5, Cremona label 72a1.
72
1872, 60480
$h(E)$:
-0.09604614174580242696138805836527284634674411384530870076667943732540379954118901258734281748392111626
comment: LMFDB 72.a4, Cremona label 72a2.
72
1872, 60480
$h_{\mathrm{st}}(E)$:
-1.107450406453154145603832091131986744054156148996853596047813277139746694130289973094726246221732952
comment: LMFDB 72.a4, Cremona label 72a2.
72
27792, 4632768
$h(E)$:
0.2505274485341702277472280023638154376910059533348189262936605674212930114436583452155888460142882275
comment: LMFDB 72.a2, Cremona label 72a3.
72
27792, 4632768
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 72.a2, Cremona label 72a3.
72
10512, -1028160
$h(E)$:
0.2505274485341702277472280023638154376910059533348189262936605674212930114436583452155888460142882275
comment: LMFDB 72.a3, Cremona label 72a4.
72
10512, -1028160
$h_{\mathrm{st}}(E)$:
-0.8764013462665057091314213839792612213623227708767685113409199406419488201403917345594384705562600565
comment: LMFDB 72.a3, Cremona label 72a4.
72
166032, -67652928
$h(E)$:
0.5971010388141428824558440630929037217287560205149465533540005721679898224285057030185205095124975713
comment: LMFDB 72.a1, Cremona label 72a5.
72
166032, -67652928
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 72.a1, Cremona label 72a5.
72
-6768, -4076352
$h(E)$:
0.5971010388141428824558440630929037217287560205149465533540005721679898224285057030185205095124975713
comment: LMFDB 72.a6, Cremona label 72a6.
72
-6768, -4076352
$h_{\mathrm{st}}(E)$:
-0.5875900210331951635409080000383543179975310482266621554573032700197014776530189363903287509744189367
comment: LMFDB 72.a6, Cremona label 72a6.
73
-183, 1755
$h(E)$:
-0.5974027950544301531101663252690366364015262193679882874391488143908729940595499673714590469749086597
comment: LMFDB 73.a2, Cremona label 73a1.
73
57, 243
$h(E)$:
-0.9439763853344028078187823859981249204392762865481159144994888191375698050443973251743907104731180034
comment: LMFDB 73.a1, Cremona label 73a2.
75
400, 8200
$h(E)$:
-0.5930983340946728146851919312586544712097037889874119827019962983782973173143780385633020942976716743
comment: LMFDB 75.c1, Cremona label 75a1.
75
400, 8200
$h_{\mathrm{st}}(E)$:
-1.129577638239372939552111709000717017718237573743584556672878928869690313216930626773346720328731545
comment: LMFDB 75.c1, Cremona label 75a1.
75
-2000, -395000
$h(E)$:
0.2116206221223773726151877353544393485530968881468468782543276473587921765394508437517648447489181311
comment: LMFDB 75.c2, Cremona label 75a2.
75
-2000, -395000
$h_{\mathrm{st}}(E)$:
-0.8613379861670228771186518201296857444639706813654982696874376136239938152656543326683244073132016094
comment: LMFDB 75.c2, Cremona label 75a2.
75
25, -20125
$h(E)$:
-0.2907057964257389095604489520096555154604036103788377622132889205468605969898212900440690381075254110
comment: LMFDB 75.b7, Cremona label 75b1.
75
25, -20125
$h_{\mathrm{st}}(E)$:
-1.095424752642789096860828618622749335223204287513096623169612866283950090843650172359135977154115216
comment: LMFDB 75.b7, Cremona label 75b1.
75
6025, -461125
$h(E)$:
0.05586779385423374514816710871943276857734645680128986484705108419983621399502606775886262539068393279
comment: LMFDB 75.b6, Cremona label 75b2.
75
6025, -461125
$h_{\mathrm{st}}(E)$:
-0.7488511623628164421522125578936610511854542203329689961092728615372532798588028145562043136559058726
comment: LMFDB 75.b6, Cremona label 75b2.
75
12025, 609875
$h(E)$:
0.4024413841342063998567831694485210526150965239814174919073910889465330249798734255617942888888932766
comment: LMFDB 75.b5, Cremona label 75b3.
75
12025, 609875
$h_{\mathrm{st}}(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 75.b5, Cremona label 75b3.
75
96025, -29756125
$h(E)$:
0.4024413841342063998567831694485210526150965239814174919073910889465330249798734255617942888888932766
comment: LMFDB 75.b4, Cremona label 75b4.
75
96025, -29756125
$h_{\mathrm{st}}(E)$:
-0.4022775720828437874435964971645727671477041531528413690489328567905564688739554567532726501576965288
comment: LMFDB 75.b4, Cremona label 75b4.
75
162025, 65184875
$h(E)$:
0.7490149744141790545653992301776093366528465911615451189677310936932298359647207833647259523871026203
comment: LMFDB 75.b2, Cremona label 75b5.
75
162025, 65184875
$h_{\mathrm{st}}(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 75.b2, Cremona label 75b5.
75
-41975, 4578875
$h(E)$:
0.7490149744141790545653992301776093366528465911615451189677310936932298359647207833647259523871026203
comment: LMFDB 75.b8, Cremona label 75b6.
75
-41975, 4578875
$h_{\mathrm{st}}(E)$:
-0.05570398180287113273498043643548448310995408597271374198859285204385965788910809895034098665948718507
comment: LMFDB 75.b8, Cremona label 75b6.
75
2592025, 4173099875
$h(E)$:
1.095588564694151709274015290906697620690596658341672746028071098439926646949568141167657615885311964
comment: LMFDB 75.b1, Cremona label 75b7.
75
2592025, 4173099875
$h_{\mathrm{st}}(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 75.b1, Cremona label 75b7.
75
132025, 90069875
$h(E)$:
1.095588564694151709274015290906697620690596658341672746028071098439926646949568141167657615885311964
comment: LMFDB 75.b3, Cremona label 75b8.
75
132025, 90069875
$h_{\mathrm{st}}(E)$:
0.2908696084771015219736356242936038009277959812074138850717471527028371530957392588525906768387221587
comment: LMFDB 75.b3, Cremona label 75b8.
75
-80, -3160
$h(E)$:
-0.5930983340946728146851919312586544712097037889874119827019962983782973173143780385633020942976716743
comment: LMFDB 75.a2, Cremona label 75c1.
75
-80, -3160
$h_{\mathrm{st}}(E)$:
-0.8613379861670228771186518201296857444639706813654982696874376136239938152656543326683244073132016094
comment: LMFDB 75.a2, Cremona label 75c1.
75
10000, 1025000
$h(E)$:
0.2116206221223773726151877353544393485530968881468468782543276473587921765394508437517648447489181311
comment: LMFDB 75.a1, Cremona label 75c2.
75
10000, 1025000
$h_{\mathrm{st}}(E)$:
-1.129577638239372939552111709000717017718237573743584556672878928869690313216930626773346720328731545
comment: LMFDB 75.a1, Cremona label 75c2.
76
1024, 32896
$h(E)$:
-0.4409307729419972971244830434269902160482691661314969741703157592648735163572543639667326803714830874
comment: LMFDB 76.a1, Cremona label 76a1.
76
1024, 32896
$h_{\mathrm{st}}(E)$:
-0.9030288933152941700693044577324412614319359223716671435841024322604692643370508410373082317024288791
comment: LMFDB 76.a1, Cremona label 76a1.
77
-96, -216
$h(E)$:
-0.7866538914826559373502272269582773559587315641084764699762173058588912114479104279318740685558273643
comment: LMFDB 77.a1, Cremona label 77a1.
77
2368, -532792
$h(E)$:
0.2543064749486507092225415652523421454732953605410202848414586365753098346055819876915885749106977544
comment: LMFDB 77.b2, Cremona label 77b1.
77
-21152, 13790888
$h(E)$:
0.8036126192827055549201641837136049977970406394523950107088058033940569812148864711283964523175637988
comment: LMFDB 77.b3, Cremona label 77b2.
77
4288, -280792
$h(E)$:
-0.2949996693854041364750810532089207068504499183703544410258885302434373120037224957452193024961682900
comment: LMFDB 77.b1, Cremona label 77b3.
77
-167, -8189
$h(E)$:
-0.4325931514721212796419975214502183922511821874957129515438100369242089954310322650239429152648305182
comment: LMFDB 77.c2, Cremona label 77c1.
77
2473, -113525
$h(E)$:
-0.08601956119214862493338146072113010821343212031558532448347003217751218444618490722101125176662117441
comment: LMFDB 77.c1, Cremona label 77c2.
78
937, -598805
$h(E)$:
0.2749304717575956718562114728424588415208902164553831088578965557663987054240856555774242625857822972
comment: LMFDB 78.a4, Cremona label 78a1.
78
62377, -15436565
$h(E)$:
0.6215040620375683265648275335715471255586402836355107359182365605130955164089330133803559260839916409
comment: LMFDB 78.a3, Cremona label 78a2.
78
112297, 12763243
$h(E)$:
0.9680776523175409812734435943006354095963903508156383629785765652597923273937803711832875895822009847
comment: LMFDB 78.a2, Cremona label 78a3.
78
995497, -993253013
$h(E)$:
0.9680776523175409812734435943006354095963903508156383629785765652597923273937803711832875895822009847
comment: LMFDB 78.a1, Cremona label 78a4.
79
97, -881
$h(E)$:
-0.8950409846340304103769417573338003367315929443052506291343514928920982012501079544457618941567259294
comment: LMFDB 79.a1, Cremona label 79a1.
80
336, -5184
$h(E)$:
-0.5487873722761625674470959969453399467604310063987813732344383497016727371944433907268910906017303085
comment: LMFDB 80.a2, Cremona label 80a1.
80
336, -5184
$h_{\mathrm{st}}(E)$:
-1.010885492649459440391917411250790992144097762638951542648225022697268485174239867797466641932676100
comment: LMFDB 80.a2, Cremona label 80a1.
80
96, 864
$h(E)$:
-0.8953609625561352221557120576744282307981810735789090002947783544483695481792907485298227540999396522
comment: LMFDB 80.a3, Cremona label 80a2.
80
96, 864
$h_{\mathrm{st}}(E)$:
-1.126410022742783658628122764827153753490014451698994085001671690946167422169188987065110529765412548
comment: LMFDB 80.a3, Cremona label 80a2.
80
5136, -368064
$h(E)$:
-0.2022137819961899127384799362162516627226809392186537461740983449549759262095960329239594271035209647
comment: LMFDB 80.a1, Cremona label 80a3.
80
5136, -368064
$h_{\mathrm{st}}(E)$:
-0.7798364324628110039195067040980654694522643845188664579413316861994706111843416292621788662672032043
comment: LMFDB 80.a1, Cremona label 80a3.
80
-624, -29376
$h(E)$:
-0.2022137819961899127384799362162516627226809392186537461740983449549759262095960329239594271035209647
comment: LMFDB 80.a4, Cremona label 80a4.
80
-624, -29376
$h_{\mathrm{st}}(E)$:
-0.7798364324628110039195067040980654694522643845188664579413316861994706111843416292621788662672032043
comment: LMFDB 80.a4, Cremona label 80a4.
80
-176, 2368
$h(E)$:
-0.5833765052355473164654100198459815783357424715582097961004998444438489591602607503496839141380905673
comment: LMFDB 80.b4, Cremona label 80b1.
80
-176, 2368
$h_{\mathrm{st}}(E)$:
-1.045474625608844189410231434151432623719409227798379965514286517439444707140057227420259465469036359
comment: LMFDB 80.b4, Cremona label 80b1.
80
64, 352
$h(E)$:
-0.9299500955155199711740260805750698623734925387383374231608398491905457701451081081526155776362999110
comment: LMFDB 80.b3, Cremona label 80b2.
80
64, 352
$h_{\mathrm{st}}(E)$:
-1.160999155702168407646436787727795385065325916858422507867733185688343644135006346687903353301772807
comment: LMFDB 80.b3, Cremona label 80b2.
80
1744, -110528
$h(E)$:
-0.03407036090149247076778740138471872601199719264683507023315267762510181255095626691287603673122452288
comment: LMFDB 80.b2, Cremona label 80b3.
80
1744, -110528
$h_{\mathrm{st}}(E)$:
-0.4961684812747893437126088156901697713956639488870052396469393506206975605307527439834515880621703146
comment: LMFDB 80.b2, Cremona label 80b3.
80
1984, -88352
$h(E)$:
-0.3806439511814651254764034621138070100497472598269626972934926823717986235358036247158077002294338667
comment: LMFDB 80.b1, Cremona label 80b4.
80
1984, -88352
$h_{\mathrm{st}}(E)$:
-0.6116930113681135619488141692665325327415806379470477820003860188695964975257018632510954758949067625
comment: LMFDB 80.b1, Cremona label 80b4.
82
73, -325
$h(E)$:
-0.8781536011642488821314573328309135521505820598622442017669885836819419453809884770097674554329380884
comment: LMFDB 82.a2, Cremona label 82a1.
82
553, 12779
$h(E)$:
-0.5315800108842762274228412721018252681128319926821165747066485789352451343961411192068357919347287446
comment: LMFDB 82.a1, Cremona label 82a2.
83
-47, 199
$h(E)$:
-0.9438672968611436055984876484421009624179567986357708456230967900275228621199922954476715302570949120
comment: LMFDB 83.a1, Cremona label 83a1.
84
-320, 1952
$h(E)$:
-0.4810707721627015968164697407440356045745834596288559964068746445430045966540547740655541313349043969
comment: LMFDB 84.b4, Cremona label 84a1.
84
-320, 1952
$h_{\mathrm{st}}(E)$:
-0.7121198323493500332888804478967611272664168377489410811137679810408024706439530126008419070003772927
comment: LMFDB 84.b4, Cremona label 84a1.
84
1360, 16064
$h(E)$:
-0.1344971818827289421078536800149473205368333924487283693465346397963077856692074162626224678366950531
comment: LMFDB 84.b3, Cremona label 84a2.
84
1360, 16064
$h_{\mathrm{st}}(E)$:
-0.5965953022560258150526750943203983659205001486888985387603213127919035336490038933331980191676408448
comment: LMFDB 84.b3, Cremona label 84a2.
84
5440, 413216
$h(E)$:
0.06823537217135324888115287771722724774916181928251872946047252227574254995524970937125374607196164751
comment: LMFDB 84.b2, Cremona label 84a3.
84
5440, 413216
$h_{\mathrm{st}}(E)$:
-0.1628136880152951875912578294354982749426715588375663552464208142220553240346485291640340295935112483
comment: LMFDB 84.b2, Cremona label 84a3.
84
87760, 25998272
$h(E)$:
0.4148089624513259035897689384463155317869118864626463565208125270224393609400970671741854095701709913
comment: LMFDB 84.b1, Cremona label 84a4.
84
87760, 25998272
$h_{\mathrm{st}}(E)$:
-0.04728915792197096935505247585913551359675486977752381289297414597315638703969940989639014176077480041
comment: LMFDB 84.b1, Cremona label 84a4.
84
64, 2080
$h(E)$:
-0.6705602172860660340464175668343725714543216862417879684542103244296979009072396820077680304035630121
comment: LMFDB 84.a2, Cremona label 84b1.
84
64, 2080
$h_{\mathrm{st}}(E)$:
-0.9016092774727144705188282739870980941461550643618730531611036609274957748971379205430558060690359080
comment: LMFDB 84.a2, Cremona label 84b1.
84
1744, 72640
$h(E)$:
-0.3239866270060933793378015061052842874165716190616603413938703196830010899223923242048363669053536684
comment: LMFDB 84.a1, Cremona label 84b2.
84
1744, 72640
$h_{\mathrm{st}}(E)$:
-0.7860847473793902522826229204107353328002383753018305108076569926785968379021888012754119182362994601
comment: LMFDB 84.a1, Cremona label 84b2.
85
409, 8227
$h(E)$:
-0.6576875105880232570625702949432330879293588592101248497439385386381904949317126050837748314812831145
comment: LMFDB 85.a1, Cremona label 85a1.
85
169, 17803
$h(E)$:
-0.3111139203080506023539542342141448038916087920299972226835985338914936839468652472808431679830737707
comment: LMFDB 85.a2, Cremona label 85a2.
88
192, -3456
$h(E)$:
-0.6292118847245640734079135738078508089515915480933284668898533133611538383538882674297082675343481828
comment: LMFDB 88.a1, Cremona label 88a1.
88
192, -3456
$h_{\mathrm{st}}(E)$:
-1.091310005097860946352734988113301854335258304333498636303639986356749586333684744500283818865293974
comment: LMFDB 88.a1, Cremona label 88a1.
89
49, -521
$h(E)$:
-0.9268756267283376143234831396800226685963217060916643747742550707307934604462019849487700851027225327
comment: LMFDB 89.a1, Cremona label 89a1.
89
-167, -3005
$h(E)$:
-0.5669229801695418112310454486983107636008956209251535468143319483514513166673212320749057161401495099
comment: LMFDB 89.b2, Cremona label 89b1.
89
73, -485
$h(E)$:
-0.9134965704495144659396615094273990476386456881052811738746719530981481276521685898778373796383588537
comment: LMFDB 89.b1, Cremona label 89b2.
90
-279, -1269
$h(E)$:
-0.5183617207093277062869271558016693215057372257609912349414239327310836080724886154449944571474978717
comment: LMFDB 90.a4, Cremona label 90a1.
90
-279, -1269
$h_{\mathrm{st}}(E)$:
-0.7930147928763551291357384650323007476676098652166785978750975161404571813771408571633983958509308939
comment: LMFDB 90.a4, Cremona label 90a1.
90
1161, -10341
$h(E)$:
-0.1717881304293550515783110950725810374679871585808636078810839279843867970876412576420627936492885279
comment: LMFDB 90.a3, Cremona label 90a2.
90
1161, -10341
$h_{\mathrm{st}}(E)$:
-0.4464412025963824744271224043032124636298597980365509708147575113937603703922934993604667323527215501
comment: LMFDB 90.a3, Cremona label 90a2.
90
3321, 217971
$h(E)$:
0.03094442362472713941069546265959353081800805315038349092592323408766353853681586799181342025936817274
comment: LMFDB 90.a2, Cremona label 90a3.
90
3321, 217971
$h_{\mathrm{st}}(E)$:
-0.7930147928763551291357384650323007476676098652166785978750975161404571813771408571633983958509308939
comment: LMFDB 90.a2, Cremona label 90a3.
90
55161, 12955059
$h(E)$:
0.3775180139046997941193115233886818148557581203305111179862632388343603495216632257947450837575775165
comment: LMFDB 90.a1, Cremona label 90a4.
90
55161, 12955059
$h_{\mathrm{st}}(E)$:
-0.4464412025963824744271224043032124636298597980365509708147575113937603703922934993604667323527215501
comment: LMFDB 90.a1, Cremona label 90a4.
90
369, -8073
$h(E)$:
-0.5183617207093277062869271558016693215057372257609912349414239327310836080724886154449944571474978717
comment: LMFDB 90.b3, Cremona label 90b1.
90
369, -8073
$h_{\mathrm{st}}(E)$:
-0.7930147928763551291357384650323007476676098652166785978750975161404571813771408571633983958509308939
comment: LMFDB 90.b3, Cremona label 90b1.
90
6129, -479817
$h(E)$:
-0.1717881304293550515783110950725810374679871585808636078810839279843867970876412576420627936492885279
comment: LMFDB 90.b2, Cremona label 90b2.
90
6129, -479817
$h_{\mathrm{st}}(E)$:
-0.4464412025963824744271224043032124636298597980365509708147575113937603703922934993604667323527215501
comment: LMFDB 90.b2, Cremona label 90b2.
90
-2511, 34263
$h(E)$:
0.03094442362472713941069546265959353081800805315038349092592323408766353853681586799181342025936817274
comment: LMFDB 90.b4, Cremona label 90b3.
90
-2511, 34263
$h_{\mathrm{st}}(E)$:
-0.7930147928763551291357384650323007476676098652166785978750975161404571813771408571633983958509308939
comment: LMFDB 90.b4, Cremona label 90b3.
90
10449, 279207
$h(E)$:
0.3775180139046997941193115233886818148557581203305111179862632388343603495216632257947450837575775165
comment: LMFDB 90.b1, Cremona label 90b4.
90
10449, 279207
$h_{\mathrm{st}}(E)$:
-0.4464412025963824744271224043032124636298597980365509708147575113937603703922934993604667323527215501
comment: LMFDB 90.b1, Cremona label 90b4.
90
-639, 49599
$h(E)$:
-0.1289811953435936291279897998955805503868789774589091293574733551589365483072962759632765639901704011
comment: LMFDB 90.c8, Cremona label 90c1.
90
-639, 49599
$h_{\mathrm{st}}(E)$:
-0.6782873396776484748256124183568434027106242563702838552248205219776836949166007594000844413970364455
comment: LMFDB 90.c8, Cremona label 90c1.
90
8001, 648351
$h(E)$:
0.2175923949363790255806262608335077336508710897212184977028666495877602626775510818396550995080389426
comment: LMFDB 90.c6, Cremona label 90c2.
90
8001, 648351
$h_{\mathrm{st}}(E)$:
-0.3317137493976758201169963576277551186728741891901562281644805172309868839317534015971527778988271018
comment: LMFDB 90.c6, Cremona label 90c2.
90
5841, -1460889
$h(E)$:
0.4203249489904612165696328185656823019368663014524655965098738116598105983020082074735313134166956433
comment: LMFDB 90.c7, Cremona label 90c3.
90
5841, -1460889
$h_{\mathrm{st}}(E)$:
-0.1289811953435936291279897998955805503868789774589091293574733551589365483072962759632765639901704011
comment: LMFDB 90.c7, Cremona label 90c3.
90
124641, 44003439
$h(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 90.c4, Cremona label 90c4.
90
124641, 44003439
$h_{\mathrm{st}}(E)$:
0.01485984088229683459161970310133316536487587798997139889585948751570992705309395620577888559938224201
comment: LMFDB 90.c4, Cremona label 90c4.
90
29601, -4386609
$h(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 90.c5, Cremona label 90c5.
90
29601, -4386609
$h_{\mathrm{st}}(E)$:
0.01485984088229683459161970310133316536487587798997139889585948751570992705309395620577888559938224201
comment: LMFDB 90.c5, Cremona label 90c5.
90
144081, -54586521
$h(E)$:
0.7668985392704338712782488792947705859746163686325932235702138164065074092868555652764629769149049870
comment: LMFDB 90.c3, Cremona label 90c6.
90
144081, -54586521
$h_{\mathrm{st}}(E)$:
0.2175923949363790255806262608335077336508710897212184977028666495877602626775510818396550995080389426
comment: LMFDB 90.c3, Cremona label 90c6.
90
195921, -11802969
$h(E)$:
1.113472129550406525986864940023858870012366435812720850630553821153204220271702923079394640413114331
comment: LMFDB 90.c2, Cremona label 90c7.
90
195921, -11802969
$h_{\mathrm{st}}(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 90.c2, Cremona label 90c7.
90
2304081, -3497410521
$h(E)$:
1.113472129550406525986864940023858870012366435812720850630553821153204220271702923079394640413114331
comment: LMFDB 90.c1, Cremona label 90c8.
90
2304081, -3497410521
$h_{\mathrm{st}}(E)$:
0.5641659852163516802892423215625960176886211569013461247632066543344570736623984396425867630062482864
comment: LMFDB 90.c1, Cremona label 90c8.
91
-48, -216
$h(E)$:
-0.9363294187881736416966882579291417416463611216868433065373705793516899192772474625132378083354257505
comment: LMFDB 91.a1, Cremona label 91a1.
91
352, -6616
$h(E)$:
-0.7385084470516670375951645215614261431436121326604752905213453116725923021828678117313483807635161836
comment: LMFDB 91.b2, Cremona label 91b1.
91
-608, -32824
$h(E)$:
-0.1892023027176121918975419031001632908198668537491005646539981448538451555735633282945405033566501392
comment: LMFDB 91.b3, Cremona label 91b2.
91
5632, 1041704
$h(E)$:
0.3601038416164426538000807153610995615038784251622741612133490219649019910357411551422673740502159052
comment: LMFDB 91.b1, Cremona label 91b3.
92
-80, -352
$h(E)$:
-0.8192693207156317065355434346745595711461920829204248584810216071673858587177564433297934401700981302
comment: LMFDB 92.b2, Cremona label 92a1.
92
-80, -352
$h_{\mathrm{st}}(E)$:
-1.050318380902280143007954141827285093838025461040509943187914943665183732707654681865081215835571026
comment: LMFDB 92.b2, Cremona label 92a1.
92
880, 31904
$h(E)$:
-0.2699631763815768608379208162132967188224468040090501326136744403486387121084519598929855627632320858
comment: LMFDB 92.b1, Cremona label 92a2.
92
880, 31904
$h_{\mathrm{st}}(E)$:
-0.5010122365682252973103315233660222415142801821291352173205677768464365860983501984282733384287049816
comment: LMFDB 92.b1, Cremona label 92a2.
92
48, -864
$h(E)$:
-0.8214126102227429755156240824097957589289832749335435419988687382791137806360464387161717559539887355
comment: LMFDB 92.a1, Cremona label 92b1.
92
48, -864
$h_{\mathrm{st}}(E)$:
-1.052461670409391411988034789562521281620816653053628626705762074776911654625944677251459531619461631
comment: LMFDB 92.a1, Cremona label 92b1.
94
-15, 567
$h(E)$:
-0.8839594707102349754157328342801663385191571719823101696058179993324138121517014902821834147371972618
comment: LMFDB 94.a2, Cremona label 94a1.
94
465, 9639
$h(E)$:
-0.5373858804302623207071167735510780544814071048021825425454779945857170011668541324792517512389879180
comment: LMFDB 94.a1, Cremona label 94a2.
96
112, -640
$h(E)$:
-0.7727939607831388030942308225185607788892870002066760314993125412536745035470360537372294065522897381
comment: LMFDB 96.b3, Cremona label 96a1.
96
112, -640
$h_{\mathrm{st}}(E)$:
-1.119367551063111457802846883247649062927037067386803658559652546000371314531883411540161070050499082
comment: LMFDB 96.b3, Cremona label 96a1.
96
832, 23552
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.b2, Cremona label 96a2.
96
832, 23552
$h_{\mathrm{st}}(E)$:
-1.119367551063111457802846883247649062927037067386803658559652546000371314531883411540161070050499082
comment: LMFDB 96.b2, Cremona label 96a2.
96
1552, -61120
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.b1, Cremona label 96a3.
96
1552, -61120
$h_{\mathrm{st}}(E)$:
-0.9460807559231251304485388528831049209081620337967398450294825436270229090394597326386952383013944100
comment: LMFDB 96.b1, Cremona label 96a3.
96
-368, -4672
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.b4, Cremona label 96a4.
96
-368, -4672
$h_{\mathrm{st}}(E)$:
-0.9460807559231251304485388528831049209081620337967398450294825436270229090394597326386952383013944100
comment: LMFDB 96.b4, Cremona label 96a4.
96
112, 640
$h(E)$:
-0.7727939607831388030942308225185607788892870002066760314993125412536745035470360537372294065522897381
comment: LMFDB 96.a3, Cremona label 96b1.
96
112, 640
$h_{\mathrm{st}}(E)$:
-1.119367551063111457802846883247649062927037067386803658559652546000371314531883411540161070050499082
comment: LMFDB 96.a3, Cremona label 96b1.
96
1552, 61120
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.a1, Cremona label 96b2.
96
1552, 61120
$h_{\mathrm{st}}(E)$:
-0.9460807559231251304485388528831049209081620337967398450294825436270229090394597326386952383013944100
comment: LMFDB 96.a1, Cremona label 96b2.
96
832, -23552
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.a2, Cremona label 96b3.
96
832, -23552
$h_{\mathrm{st}}(E)$:
-1.119367551063111457802846883247649062927037067386803658559652546000371314531883411540161070050499082
comment: LMFDB 96.a2, Cremona label 96b3.
96
-368, 4672
$h(E)$:
-0.4262203705031661483856147617894724948515369330265484044389725365069776925621886959342977430540803943
comment: LMFDB 96.a4, Cremona label 96b4.
96
-368, 4672
$h_{\mathrm{st}}(E)$:
-0.9460807559231251304485388528831049209081620337967398450294825436270229090394597326386952383013944100
comment: LMFDB 96.a4, Cremona label 96b4.
98
1225, 86779
$h(E)$:
-0.05912982399734123597040257109433637194899444880766089773936682446965143392736445504047910777082665034
comment: LMFDB 98.a5, Cremona label 98a1.
98
1225, 86779
$h_{\mathrm{st}}(E)$:
-1.032084898524997888523078942815926236767536813598591491969061899438441365303399088934308357064762414
comment: LMFDB 98.a5, Cremona label 98a1.
98
24745, 3889963
$h(E)$:
0.2874437662826314187382134896347519120887556183724667293209731802770453770574829027624525557273826934
comment: LMFDB 98.a4, Cremona label 98a2.
98
24745, 3889963
$h_{\mathrm{st}}(E)$:
-0.6855113082450252338144628820868379527297867464184638649087218946917445543185517311313766935665530701
comment: LMFDB 98.a4, Cremona label 98a2.
98
-10535, -1814813
$h(E)$:
0.4901763203367136097272200473669264803747508301037138281279803423490957126819400283963287696360393941
comment: LMFDB 98.a6, Cremona label 98a3.
98
-10535, -1814813
$h_{\mathrm{st}}(E)$:
-0.4827787541909430428254563243546633844437915346872167661017147326196942186940946054975004796578963694
comment: LMFDB 98.a6, Cremona label 98a3.
98
83545, -19793501
$h(E)$:
0.8367499106166862644358361080960147644125008972838414551883203470957925236667873861992604331342487378
comment: LMFDB 98.a3, Cremona label 98a4.
98
83545, -19793501
$h_{\mathrm{st}}(E)$:
-0.1362051639109703881168402636255751004060414675070891390413747278729974077092472476945688161596870257
comment: LMFDB 98.a3, Cremona label 98a4.
98
401065, -254726549
$h(E)$:
1.039482464670768455424842665828189332698496109015088553995327509167842859291244511833136647042905438
comment: LMFDB 98.a2, Cremona label 98a5.
98
401065, -254726549
$h_{\mathrm{st}}(E)$:
0.06652739014311180287216629410659946787995374422415795976563243419905292791520987793930739774896967495
comment: LMFDB 98.a2, Cremona label 98a5.
98
6422185, -16275120533
$h(E)$:
1.386056054950741110133458726557277616736246176195216181055667513914539670276091869636068310541114782
comment: LMFDB 98.a1, Cremona label 98a6.
98
6422185, -16275120533
$h_{\mathrm{st}}(E)$:
0.4131009804230844575807823548356877519177038114042855868259724389457497389000572357422390612471790187
comment: LMFDB 98.a1, Cremona label 98a6.
99
81, 135
$h(E)$:
-0.8352641639743923451132402003646889610856876347250060013682540240046112515210950867777211613027924443
comment: LMFDB 99.a2, Cremona label 99a1.
99
81, 135
$h_{\mathrm{st}}(E)$:
-1.109917236141419767962051509595320387247560274180693364301927607413984824825747328496125100006225467
comment: LMFDB 99.a2, Cremona label 99a1.
99
801, -22545
$h(E)$:
-0.4886905736944196904046241396356006770479375675448783743079140192579144405362477289747894978045831005
comment: LMFDB 99.a1, Cremona label 99a2.
99
801, -22545
$h_{\mathrm{st}}(E)$:
-0.7633436458614471132534354488662321032098102070005657372415876026672880138408999706931934365080161227
comment: LMFDB 99.a1, Cremona label 99a2.
99
2817, -148257
$h(E)$:
-0.1564731033425790619620556232027112301330461105958875073470404800435445214028288369768548017467746974
comment: LMFDB 99.b3, Cremona label 99b1.
99
2817, -148257
$h_{\mathrm{st}}(E)$:
-0.7057792476766339076596782416639740824567913895072622332143876468622916680121333204136626791536407418
comment: LMFDB 99.b3, Cremona label 99b1.
99
4977, 110295
$h(E)$:
0.1901004869373935927465604375263770539047039565842401197132995247031522895820185208260768617514346464
comment: LMFDB 99.b2, Cremona label 99b2.
99
4977, 110295
$h_{\mathrm{st}}(E)$:
-0.3592056573966612529510621809348857984190413223271346061540476421155948570272859626107310156554313980
comment: LMFDB 99.b2, Cremona label 99b2.
99
63297, 15909183
$h(E)$:
0.5366740772173662474551764982554653379424540237643677467736395294498491005668658786290085252496439902
comment: LMFDB 99.b1, Cremona label 99b3.
99
63297, 15909183
$h_{\mathrm{st}}(E)$:
-0.01263206711668859824244612020579751438129125514700697909370763736889804604243860480779935215722205421
comment: LMFDB 99.b1, Cremona label 99b3.
99
-18783, 858735
$h(E)$:
0.5366740772173662474551764982554653379424540237643677467736395294498491005668658786290085252496439902
comment: LMFDB 99.b4, Cremona label 99b4.
99
-18783, 858735
$h_{\mathrm{st}}(E)$:
-0.01263206711668859824244612020579751438129125514700697909370763736889804604243860480779935215722205421
comment: LMFDB 99.b4, Cremona label 99b4.
99
729, -3645
$h(E)$:
-0.2859580196403374994156175819034261087619423558136312755009068571858641049117906033409132838959263999
comment: LMFDB 99.c2, Cremona label 99c1.
99
729, -3645
$h_{\mathrm{st}}(E)$:
-1.109917236141419767962051509595320387247560274180693364301927607413984824825747328496125100006225467
comment: LMFDB 99.c2, Cremona label 99c1.
99
7209, 608715
$h(E)$:
0.06061557063963515529299847882566217527580771136649635155943314756083270607305675446201837960228294385
comment: LMFDB 99.c1, Cremona label 99c2.
99
7209, 608715
$h_{\mathrm{st}}(E)$:
-0.7633436458614471132534354488662321032098102070005657372415876026672880138408999706931934365080161227
comment: LMFDB 99.c1, Cremona label 99c2.
99
144, 4104
$h(E)$:
-0.5634226530013984062917713096113181585384239156309075661336901295943340134109410205131142440393641731
comment: LMFDB 99.d3, Cremona label 99d1.
99
144, 4104
$h_{\mathrm{st}}(E)$:
-1.112728797335453251989393928072581010862169194542282292001037296413081160020245503949922121446230217
comment: LMFDB 99.d3, Cremona label 99d1.
99
4464, -540216
$h(E)$:
0.2412963032156517810086083570017756612243767615033512948226338161427554804428878618019526950072256323
comment: LMFDB 99.d2, Cremona label 99d2.
99
4464, -540216
$h_{\mathrm{st}}(E)$:
-0.3080098411184030646890142614594871910993685174080234310447133506759916661664166216348551823996404121
comment: LMFDB 99.d2, Cremona label 99d2.
99
3378384, -6209598456
$h(E)$:
1.046015259432701968308988023614869480987177438637610155778957761879844974296716744117019634053815438
comment: LMFDB 99.d1, Cremona label 99d3.
99
3378384, -6209598456
$h_{\mathrm{st}}(E)$:
0.4967091150986471226113654051536066286634321597262354299116105950610978276874122606802117566469493933
comment: LMFDB 99.d1, Cremona label 99d3.
100
1600, -44000
$h(E)$:
-0.1252311392984697838736464139619760426106918616040785622045159034534562762912792258375486385897101056
comment: LMFDB 100.a3, Cremona label 100a1.
100
1600, -44000
$h_{\mathrm{st}}(E)$:
-1.160999155702168407646436787727795385065325916858422507867733185688343644135006346687903353301772807
comment: LMFDB 100.a3, Cremona label 100a1.
100
-4400, -296000
$h(E)$:
0.2213424509815028708349696467671122414270582055760490648558241012932405346935681319653830249084992381
comment: LMFDB 100.a4, Cremona label 100a2.
100
-4400, -296000
$h_{\mathrm{st}}(E)$:
-1.045474625608844189410231434151432623719409227798379965514286517439444707140057227420259465469036359
comment: LMFDB 100.a4, Cremona label 100a2.
100
49600, 11044000
$h(E)$:
0.4240750050355850618239762044992868097130534173072961636628312633652908703180252575992592388171559387
comment: LMFDB 100.a1, Cremona label 100a3.
100
49600, 11044000
$h_{\mathrm{st}}(E)$:
-0.6116930113681135619488141692665325327415806379470477820003860188695964975257018632510954758949067625
comment: LMFDB 100.a1, Cremona label 100a3.
100
43600, 13816000
$h(E)$:
0.7706485953155577165325922652283750937508034844874237907231712681119876813028726154021909023153652825
comment: LMFDB 100.a2, Cremona label 100a4.
100
43600, 13816000
$h_{\mathrm{st}}(E)$:
-0.4961684812747893437126088156901697713956639488870052396469393506206975605307527439834515880621703146
comment: LMFDB 100.a2, Cremona label 100a4.
Definition
The Faltings height $h(E)$ [3] of an elliptic curve $E/\mathbb{Q}$ is $-\frac12\log A$, where $A$ is the period-lattice area in (1). This table gives $h(E)$ and, when different, the stable Faltings height $h_{\mathrm{st}}(E)$ in the LMFDB and Sage normalisation.
Parameters
$N$
—   conductor ($N\geq 1$)
$c_4$
—   invariant $c_4$ of a minimal model of $E$
$c_6$
—   invariant $c_6$ of a minimal model of $E$
quantity
—   quantity
Formulas
(1)
If $\omega_1,\omega_2$ is a $\mathbb{Z}$-basis of the period lattice $\Lambda_E$ of the Néron differential $dx/(2y+a_1x+a_3)$ on a global minimal model of $E$ [2], then $A=|\operatorname{Im}(\overline{\omega_1}\omega_2)|$ and $h(E)=-\frac12\log A$.
(2)
$h_{\mathrm{st}}(E)=h(E)+\frac1{12} (\log\operatorname{denom}(j(E))-\log|\Delta_{\min}(E)|)$.
(3)
If $E$ is semistable, then $h_{\mathrm{st}}(E)=h(E)$.
(4)
If $\varphi:E\to E'$ is an isogeny over $\mathbb{Q}$ of degree $d$ and $\varphi^*\omega_{E'}=c\,\omega_E$ for Néron differentials, then $h(E')=h(E)+\frac12\log d-\log|c|$.
(5)
If $E_{\min}$ is the curve of minimal Faltings height in a $\mathbb{Q}$-isogeny class, then $\rho(E)=\exp(2(h(E)-h(E_{\min})))$ is the index of $\Lambda_{E_{\min}}$ in $\Lambda_E$ [5] [1].
Comments
(6)
Sage [10] notes that some authors use $-\frac1{2\pi}\log A$ instead; this table uses the LMFDB convention [4].
(7)
For a semistable curve $h_{\mathrm{st}}(E)=h(E)$ by (3), so its $h_{\mathrm{st}}(E)$ row is omitted; a row with quantity stable therefore records a curve that is not semistable.
(8)
The curve is identified by $N$, $c_4$ and $c_6$. A model of $E/\mathbb{Q}$ is given by $E: y^2 = x^3 - 27 c_4 x - 54 c_6$, as in the rank-one real-period table. Each entry comment gives both labels for the curve. The LMFDB curve number and the Cremona curve number may differ [12]: LMFDB 11.a2 is Cremona 11a1 [7].
(9)
The Faltings height $h(E)$ is not constant on an isogeny class. In the isogeny class 11.a, the Faltings ratios $\rho(E)$ of LMFDB 11.a1, 11.a2 and 11.a3 are $25$, $5$ and $1$. By (4), a $4$-isogeny with $c=2$ leaves the height unchanged, which is why LMFDB 15.a4 and 15.a5 hold the same value; a quadratic twist by $-1$ does the same across classes, as for LMFDB 20.a1 and 80.b1.
Programs
(P1)
Sage
E = EllipticCurve([0, -1, 1, -10, -20])       # Cremona 11a1, LMFDB 11.a2
E.faltings_height(prec=150)
E.faltings_height(stable=True, prec=150)

F = EllipticCurve([0, 0, 1, -270, -1708])     # Cremona 27a2, LMFDB 27.a1
F.faltings_height(prec=150)
F.faltings_height(stable=True, prec=150)
References
[1]
Glenn Stevens, Stickelberger elements and modular parametrizations of elliptic curves, Inventiones mathematicae 98 (1989), no. 1, 75-106. (doi) (MR)
[2]
Joseph H. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves, second edition, Graduate Texts in Mathematics 151, Springer, 2009.
Links
Similar tables
Real periods of elliptic curves over $\mathbb{Q}$ of rank $1$ —   store one real period of each rank-one curve, while this table uses the full period-lattice area
Real periods of elliptic curves over $\mathbb{Q}$ of rank $2$ —   store one real period of each rank-two curve, while this table uses the full period-lattice area
Real periods of elliptic curves over $\mathbb{Q}$ of rank $3$ —   store one real period of each rank-three curve, while this table uses the full period-lattice area
Regulators of elliptic curves over $\mathbb{Q}$ of rank $1$ —   store canonical-height regulators, another height invariant of rational points on elliptic curves
Regulators of elliptic curves over $\mathbb{Q}$ of rank $2$ —   store canonical-height regulators, another height invariant of rational points on elliptic curves
Regulators of elliptic curves over $\mathbb{Q}$ of rank $3$ —   store canonical-height regulators, another height invariant of rational points on elliptic curves
Special $L$-value of elliptic curves over $\mathbb{Q}$ of rank $1$ —   store the $L$-function factor of the Birch and Swinnerton-Dyer formula for the same kind of indexed curve
Special $L$-value of elliptic curves over $\mathbb{Q}$ of rank $2$ —   store the $L$-function factor of the Birch and Swinnerton-Dyer formula for the same kind of indexed curve
Special $L$-value of elliptic curves over $\mathbb{Q}$ of rank $3$ —   store the $L$-function factor of the Birch and Swinnerton-Dyer formula for the same kind of indexed curve
Elliptic curves over $\mathbb{Q}$ with large Szpiro ratios —   use the same global minimal invariants $\Delta_{\min}$ and conductor $N$
$j$-invariants of elliptic curves over $\mathbb{Q}$ with good reduction outside $2,3,5$ —   store $j(E)$ for another finite family of rational elliptic curves
Hilbert class polynomials —   have singular moduli as roots, while this table includes the Faltings heights of the corresponding CM elliptic curves over $\mathbb{Q}$ when they occur in the range
Data properties
Entries are of type: real number
How well the digits are known: proven
Table is complete: no (it holds every elliptic curve over $\mathbb{Q}$ with conductor $N\leq100$, one row for $h(E)$ and, for curves that are not semistable, a second row for $h_{\mathrm{st}}(E)$)
How they were obtained:

The generator enumerates the $306$ curves in Sage's mini Cremona database with conductor $N\leq100$ and adds stable-height entries for the $160$ non-semistable curves.

more

For each curve it computes the period-lattice area in Sage's RealBallField from the AGM formulas used by Sage's period lattice code [11], with $192$ guard bits beyond the $100$ written digits. The values were compared on every entry with Sage's own faltings_height() [10]; (2) was checked on every stable-height row; (5) was checked on every isogeny class in the range; and the values for LMFDB 11.a1, 11.a2, 11.a3 and 27.a1 were compared with the LMFDB JSON data pages [6] [7] [8] [9].



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